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Finding the Fourth Proportional to 2,468.04, 3,701.98 and 644.04

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Solution

The fourth proportional to 2,468.04, 3,701.98 and 644.04 is: 966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.04 : 3,701.98 = 644.04 : x
  2. Step 2: Convert to fraction form
    2,468.04/3,701.98 = 644.04/x
  3. Step 3: Cross multiply
    2,468.04x = 3,701.98 × 644.04
  4. Step 4: Simplify right side
    2,468.04x = 2,384,223.20
  5. Step 5: Solve for x
    x = 2,384,223.20/2,468.04
  6. Step 6: Final answer
    x = 966.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.